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Determine the Decision Criterion for Rejecting the Null Hypothesis in the Given

Question 29

Multiple Choice

Determine the decision criterion for rejecting the null hypothesis in the given hypothesis test; i.e., describe the values of the test statistic that would result in rejection of the null hypothesis
-A farmer has decided to use a new additive to grow his crops. He divided his farm into 10 plots and kept records of the corn yield (in bushels) before and after using the additive. The results are shown below.  Plot: 12345678910 Before 998768591011 After 109987106101012\begin{array} { l l l l l l l l l l l } \text { Plot: } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\\hline \text { Before } & 9 & 9 & 8 & 7 & 6 & 8 & 5 & 9 & 10 & 11 \\ \text { After } & 10 & 9 & 9 & 8 & 7 & 10 & 6 & 10 & 10 & 12 \end{array}
You wish to test the following hypothesis at the 1 percent level of significance.
H0:μD=0\mathrm { H } _ { 0 } : \mu _ { \mathrm { D } } = 0 against H1:μD0\mathrm { H } _ { 1 } : \mu _ { \mathrm { D } } \neq 0
What decision rule would you use?


A) Reject H0\mathrm { H } _ { 0 } if test statistic is less than 3.250- 3.250 .
B) Reject H0\mathrm { H } _ { 0 } if test statistic is greater than 3.2503.250 .
C) Reject H0\mathrm { H } _ { 0 } if test statistic is less than 3.250- 3.250 or greater than 3.2503.250 .
D) Reject H0\mathrm { H } _ { 0 } if test statistic is greater than 3.250- 3.250 or less than 3.2503.250 .

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